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Finding the Fourth Proportional to 337,739.88, 506,422.62 and 138,200.16

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Solution

The fourth proportional to 337,739.88, 506,422.62 and 138,200.16 is: 207,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,739.88 : 506,422.62 = 138,200.16 : x
  2. Step 2: Convert to fraction form
    337,739.88/506,422.62 = 138,200.16/x
  3. Step 3: Cross multiply
    337,739.88x = 506,422.62 × 138,200.16
  4. Step 4: Simplify right side
    337,739.88x = 69,987,687,111.62
  5. Step 5: Solve for x
    x = 69,987,687,111.62/337,739.88
  6. Step 6: Final answer
    x = 207,223.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.